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Amiraneli [1.4K]
4 years ago
9

Given two functions f(x) and g(x): f(x)=4x^2+2, g(x)=3x+2 form a composition g(f(x))

Mathematics
1 answer:
9966 [12]4 years ago
3 0
G(f(x)) = g ( 4x^2+2) = 3 (4x^2+2)+2
= 12x^2+6+2 = 12x^2+8
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<h3>Answer: Choice D. 2, 6, 12, 20</h3>

=============================================

Work Shown:

Plug in n = 1

c(n) = n(n+1)

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c(1) = 1(2)

c(1) = 2

The first term is 2

-------------

Plug in n = 2

c(n) = n(n+1)

c(2) = 2(2+1)

c(2) = 2(3)

c(2) = 6

The second term is 6

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Plug in n = 3

c(n) = n(n+1)

c(3) = 3(3+1)

c(3) = 3(4)

c(3) = 12

The third term is 12

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Plug in n = 4

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c(4) = 4(4+1)

c(4) = 4(5)

c(4) = 20

The fourth term is 20

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The first four terms are: 2, 6, 12, 20

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